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Question

Which of the following data sets has the smallest range?(1 point)
Responses

{324, 318, 367, 312, 389, 337}
left brace 324, 318, 367, 312, 389, 337 right brace

{50, 30, 10, 0, 80, 100}
left brace 50, 30, 10, 0, 80, 100 right brace

{37, 19, 40, 54, 75, 68}
left brace 37, 19, 40, 54, 75, 68 right brace

{148, 145, 117, 148, 199, 172}

1 answer

To find the smallest range among the given data sets, we need to calculate the range for each set. The range is defined as the difference between the maximum and minimum values in the set.

  1. Data Set 1: {324, 318, 367, 312, 389, 337}

    • Maximum = 389
    • Minimum = 312
    • Range = 389 - 312 = 77

  2. Data Set 2: {50, 30, 10, 0, 80, 100}

    • Maximum = 100
    • Minimum = 0
    • Range = 100 - 0 = 100

  3. Data Set 3: {37, 19, 40, 54, 75, 68}

    • Maximum = 75
    • Minimum = 19
    • Range = 75 - 19 = 56

  4. Data Set 4: {148, 145, 117, 148, 199, 172}

    • Maximum = 199
    • Minimum = 117
    • Range = 199 - 117 = 82

Now, we compare the ranges:

  • Data Set 1: 77
  • Data Set 2: 100
  • Data Set 3: 56
  • Data Set 4: 82

The smallest range is 56 from Data Set 3: {37, 19, 40, 54, 75, 68}.

Thus, the data set with the smallest range is:

{37, 19, 40, 54, 75, 68}.